Answer:
I think that there might be some complex differential equation
stuff going on here if this were in the real world, but for the sake of this problem... may I suggest that the tank is filling up at a rate of
1/8 of a tank per hour...
it is evaporating at a rate of 1/12 tank per hour
you can subtract the rates
1/8 - 1/12 = 12/96- 8/96 = 3/96 = 1/32 tank/hr
so to fill the tank it should take 32 hours...
I think the logic and math work... lets see if someone else will verify this analysis?
Step-by-step explanation:
The given functions are


Now these are exponential curves and the bases for the functions are 3.5 & 1.5
Also the graph of g(x) is between f(x) & h(x)
Hence the value of base called the scale factor must be between 3.5 & 1.5.
4 & 5 are more than 3.5
0.9 is smaller than 1.5
But π = 3.14 lies between 3.5 & 1.5.
Hence the only option which can represent the graph of g(x) is

Option D) is the right answer
Hi there!

We can calculate slope using the following formula:

Plug in the corresponding points:

Simplify:

Answer:
-24 is your answer<3.....